The current study describes experimental and computational works on the passive control of the unsteady condensation shock wave which is generated in a transonic nozzle. The bleed slots were installed on the contoured wall of the transonic nozzle in order to control the condensation shock wave. For computation, the two dimensional, compressible, Navier-Stokes equations, fully coupled with the condensate droplet growth equations, were numerically solved by a third-order MUSCL type TVD finite-difference scheme, with a second-order fractional time step. Baldwin-Lomax turbulence model was employed to close the governing equations. An experiment using an indraft transonic wind tunnel was made to validate the computational results. The current computations represented well the experimental flows. From both experimental and computational results it was found that the oscillations of the condensation shock wave were successfully suppressed by the bleed slot system.